Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

Caola, Fabrizio; Henn, Johannes M.; Melnikov, Kirill; Smirnov, Alexander V.; Smirnov, Vladimir A.

doi:10.1007/JHEP06(2015)129

Title: Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

Abstract

We compute the part of the two-loop virtual amplitude for the process gg→V₁V₂→(l₁$$\overline{l}$$'₂)(l₂$$\overline{l}$$'₂), where V _1,2 are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC.

Authors:

Caola, Fabrizio ^[1]; Henn, Johannes M. ^[2]; Melnikov, Kirill ^[3]; Smirnov, Alexander V. ^[4]; Smirnov, Vladimir A. ^[5]

TH Unit, CERN, Geneva (Switzerland). PH Dept.
Institute for Advanced Study, Princton, NJ (United States)
Karlsruhe Institute of Technology (Germany). Institute for Theoretical Particle Physics
Moscow State University (Russia). Research Computing Center
Moscow State University (Russia). Skobeltsyn Institute of Nuclear Physics

Publication Date:: Thu Jun 18 00:00:00 EDT 2015

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1454729

Grant/Contract Number:: SC0009988

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD Phenomenology; NLO Computations

Citation Formats


                    Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP06(2015)129.

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                    Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., & Smirnov, Vladimir A. Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion.  United States.  https://doi.org/10.1007/JHEP06(2015)129

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                    Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Thu .  
"Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion".  United States.  https://doi.org/10.1007/JHEP06(2015)129.  https://www.osti.gov/servlets/purl/1454729.

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@article{osti_1454729,

  title        = {Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion},

  author       = {Caola, Fabrizio and Henn, Johannes M. and Melnikov, Kirill and Smirnov, Alexander V. and Smirnov, Vladimir A.},

  abstractNote = {We compute the part of the two-loop virtual amplitude for the process gg→V1V2→(l1$\overline{l}$'2)(l2$\overline{l}$'2), where V 1,2 are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC.},

  doi          = {10.1007/JHEP06(2015)129},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 6,

  volume       = 2015,

  place        = {United States},

  year         = {Thu Jun 18 00:00:00 EDT 2015},

  month        = {Thu Jun 18 00:00:00 EDT 2015}

}

Copy to clipboard

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Title: Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

Abstract

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Integration by parts: The algorithm to calculate β-functions in 4 loops journal, November 1981

Automatic Feynman Graph Generation journal, April 1993

Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production journal, January 2014

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The singular behaviour of QCD amplitudes at two-loop order journal, May 1998

FORM version 4.0 journal, May 2013

Numerical evaluation of multiple polylogarithms journal, May 2005

A theorem on analytical calculability of 4-loop renormalization group functions journal, March 1981

FIRE4, LiteRed and accompanying tools to solve integration by parts relations journal, December 2013

Algorithm FIRE—Feynman Integral REduction journal, October 2008

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Production of two Z-bosons in gluon fusion in the heavy top quark approximation journal, May 2015

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Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies text, January 2013

Production of two Z-bosons in gluon fusion in the heavy top quark approximation text, January 2015

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W + W − production at the LHC: fiducial cross sections and distributions in NNLO QCD journal, August 2016

Merging W W and W W + jet with Minlo journal, September 2016

A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory journal, October 2015

NNLOPS accurate predictions for W+W− production journal, December 2018

Top quark mass effects in g g → Z Z at two loops and off-shell Higgs boson interference journal, December 2019

Transverse momentum in double parton scattering: factorisation, evolution and matching text, January 2018

Transverse-momentum resummation for vector-boson pair production at NNLL+NNLO text, January 2015

$W^+W^-$ production at the LHC: fiducial cross sections and distributions in NNLO QCD text, January 2016

Two loop correction to interference in gg → ZZ text, January 2016

ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel text, January 2018

Top quark mass effects in g g → Z Z at two loops and off-shell Higgs boson interference text, January 2019

Transverse momentum in double parton scattering: factorisation, evolution and matching text, January 2017

A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory text, January 2015

$W^+W^-$ production at the LHC: fiducial cross sections and distributions in NNLO QCD text, January 2016

QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC text, January 2016

Merging WW and WW+jet with MINLO text, January 2016

Full Colour for Loop Amplitudes in Yang-Mills Theory text, January 2016

Transverse momentum in double parton scattering: factorisation, evolution and matching text, January 2017

NNLO predictions for Z-boson pair production at the LHC text, January 2017

Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts text, January 2018

ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel text, January 2019

ZZ production at hadron colliders in NNLO QCD
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Gluon fusion contribution to W + W − + jet production
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Higgs boson production at the LHC
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Gluon-induced Higgs-strahlung at next-to-leading order QCD
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Gluon-induced W -boson pair production at the LHC
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Generalized Furry's Theorem for Closed Loops
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Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies
text, January 2013

Production of two Z-bosons in gluon fusion in the heavy top quark approximation
text, January 2015

ZZ plus jet production via gluon fusion at the LHC
text, January 2013

The two-loop master integrals for $ q\overline{q} $ → VV
text, January 2014

Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production
text, January 2014

FORM version 4.0
text, January 2012

Gluon fusion contribution to W+W- + jet production
text, January 2012

Inadequacy of zero-width approximation for a light Higgs boson signal
text, January 2012

Gluon-induced Higgs-strahlung at next-to-leading order QCD
text, January 2012

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
text, January 2014

Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
text, January 2014

ZZ production at hadron colliders in NNLO QCD
text, January 2014

FIRE5: a C++ implementation of Feynman Integral REduction
text, January 2014

Isolating a light Higgs boson from the di-photon background at the LHC
text, January 2002

Numerical evaluation of multiple polylogarithms
text, January 2004

Gluon-induced WW background to Higgs boson searches at the LHC
text, January 2005

Gluon-induced W-boson pair production at the LHC
text, January 2006

The Singular Behaviour of QCD Amplitudes at Two-loop Order
text, January 1998

W+W- production at Hadron Colliders in next to next to leading order QCD
text, January 2014

NNLO predictions for Z-boson pair production at the LHC
journal, March 2018

ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
journal, March 2019

QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC
journal, July 2016

Two loop correction to interference in gg → ZZ
journal, August 2016

W + W − production at the LHC: fiducial cross sections and distributions in NNLO QCD
journal, August 2016

Merging W W and W W + jet with Minlo
journal, September 2016

A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory
journal, October 2015

NNLOPS accurate predictions for W+W− production
journal, December 2018

Top quark mass effects in $g g \to Z Z$ at two loops and off-shell Higgs boson interference
journal, December 2019

Transverse momentum in double parton scattering: factorisation, evolution and matching
text, January 2018

Transverse-momentum resummation for vector-boson pair production at NNLL+NNLO
text, January 2015

$W^+W^-$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
text, January 2016

Two loop correction to interference in gg → ZZ
text, January 2016

ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
text, January 2018

Top quark mass effects in g g → Z Z at two loops and off-shell Higgs boson interference
text, January 2019

Transverse momentum in double parton scattering: factorisation, evolution and matching
text, January 2017

A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory
text, January 2015

$W^+W^-$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
text, January 2016

QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC
text, January 2016

Merging WW and WW+jet with MINLO
text, January 2016

Full Colour for Loop Amplitudes in Yang-Mills Theory
text, January 2016

Transverse momentum in double parton scattering: factorisation, evolution and matching
text, January 2017

NNLO predictions for Z-boson pair production at the LHC
text, January 2017

Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts
text, January 2018

ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
text, January 2019